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Finding the Third Proportional to 105,654.38 and 216,168.75

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Solution

The third proportional to 105,654.38 and 216,168.75 is: 442,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,654.38 : 216,168.75 = 216,168.75 : x
  2. Step 2: Convert to fraction form
    105,654.38/216,168.75 = 216,168.75/x
  3. Step 3: Cross multiply
    105,654.38x = 216,168.75 × 216,168.75
  4. Step 4: Simplify right side
    105,654.38x = 46,728,928,476.56
  5. Step 5: Solve for x
    x = 46,728,928,476.56/105,654.38
  6. Step 6: Final answer
    x = 442,281.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.